A numerical test for the existeence and uniqeness of solution of free boundery problems

Abstract

The aim of this work is to introduce a numbeicaal test for the existence ferential eqinueness of solutionof free boundary problems govrned by an ordinary differential equtial. the main result is given by a theorem relation the existence and uniqueness question to thenumber of real zeal zeros of a function implicitly defined within the formulation of the iterative tranesformation method .as a consequence we can investigate the existence and uniquess of solution by studing the behaviour of that fution within such a context the numerical test is illustrated by two examples.

Keywords:

• Free Boundary Value Problems
• Existence And Uniqueness
• Numberical Test.